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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.7882656565338966034298646646366073323', 'prec': 130}, 'abs_disc': 17, 'ainvs': '1,0;1,-1;1,1;-136,52;363,-143', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(-w-1)', '(2*w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.2.17.1-676.5-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(20*w-42)', 'conductor_label': '676.5', 'conductor_norm': 676, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-2330*w+90914)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(52a-136\\right){x}-143a+363', 'field_label': '2.2.17.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'jinv': '2171529/208,4036021/832', 'label': '2.2.17.1-676.5-a3', 'local_data': [{'p': '(-w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w-1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+1)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(-2330*w+90914)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 8031810176, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '6.5808416884689166289585899694115957142', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.8786664869903316, 'semistable': False, 'sha': 1, 'short_class_label': '676.5-a', 'short_label': '676.5-a3', 'signature': [2, 0], 'tamagawa_product': 12, 'torsion_gens': ['[[7/4,-3/4],[-11/8,-1/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 194753449470889898}